Question

DIRECTIONS: Use this information to answer Parts A, B, C, D, E, and F.Racetracks often charge an annual membership fee and an entry fee per race. One racer paid a total of $76 after 3 races. Another racer paid a total of $124 after 7 races.

Answer 1

we have the ordered pairs

(3,76) and (7,124)

Find out the slope

m=(124-76)/(7-3)

m=48/4

m=$12 per race

Find out the linear equation

y=mx+b

we have

m=12

point (3,76)

substitute

76=12(3)+b

solve for b

b=76-36

b=40

therefore

y=12x+40

The initial value is 40. This represents an annual membership fee and an entry fee per race of $40